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thông tin biểu ghi
ISBN 9789811205460
DDC 515.352
Tác giả CN Gentile, Franco Sebastián
Nhan đề Frequency-domain approach to Hopf bifurcation analysis : continuous time-delayed systems / Franco Sebastián Gentile, Jorge L. Moiola, G. Chen
Thông tin xuất bản Singapore : World Scientific, 2020
Mô tả vật lý xiv, 378 pages. : illustrations ; 25 cm.
Tùng thư World Scientific series on nonlinear science, v. 96, volume 96
Tóm tắt This book is devoted to the study of an effective frequency-domain approach, based on systems control theory, to compute and analyze several types of standard bifurcation conditions for general continuous-time nonlinear dynamical systems. A very rich pictorial gallery of local bifurcation diagrams for such nonlinear systems under simultaneous variations of several system parameters is presented. Some higher-order harmonic balance approximation formulas are derived for analyzing the oscillatory dynamics in small neighborhoods of certain types of Hopf and degenerate Hopf bifurcations. The frequency-domain approach is then extended to the large class of delay-differential equations, where the time delays can be either discrete or distributed. For the case of discrete delays, two alternatives are presented, depending on the structure of the underlying dynamical system, where the more general setting is then extended to the case of distributed time-delayed systems. Some representative examples in engineering and biology are discussed
Từ khóa tự do Dynamical systems
Từ khóa tự do Nonlinear control analysis
Từ khóa tự do Time-delay systems
Từ khóa tự do Bifurcation theory
Tác giả(bs) CN Chen, G.
Tác giả(bs) CN Moiola, Jorge L.
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100 |aGentile, Franco Sebastián
245 |aFrequency-domain approach to Hopf bifurcation analysis : |bcontinuous time-delayed systems / |cFranco Sebastián Gentile, Jorge L. Moiola, G. Chen
260 |aSingapore : |bWorld Scientific, |c2020
300 |axiv, 378 pages. : |billustrations ; |c25 cm.
490 |aWorld Scientific series on nonlinear science, v. 96, volume 96
520 |aThis book is devoted to the study of an effective frequency-domain approach, based on systems control theory, to compute and analyze several types of standard bifurcation conditions for general continuous-time nonlinear dynamical systems. A very rich pictorial gallery of local bifurcation diagrams for such nonlinear systems under simultaneous variations of several system parameters is presented. Some higher-order harmonic balance approximation formulas are derived for analyzing the oscillatory dynamics in small neighborhoods of certain types of Hopf and degenerate Hopf bifurcations. The frequency-domain approach is then extended to the large class of delay-differential equations, where the time delays can be either discrete or distributed. For the case of discrete delays, two alternatives are presented, depending on the structure of the underlying dynamical system, where the more general setting is then extended to the case of distributed time-delayed systems. Some representative examples in engineering and biology are discussed
541 |aTặng
653 |aDynamical systems
653 |aNonlinear control analysis
653 |aTime-delay systems
653 |aBifurcation theory
700 |aChen, G.
700 |aMoiola, Jorge L.
852|a300|bQ12_Kho Mượn_02|j(1): 099788
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1 099788 Q12_Kho Mượn_02 515.352 G3381 Sách mượn về nhà 1 Chưa sẵn sàng

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